In the transport processes in many physical systems, the temperature dependence of diffusivity is assumed to be exhibit Arrhenius behavior, i.e., a linear relationship $log\left(D\right)\propto 1∕T$ . When extended to lower temperatures, deviations are observed in many physical systems. The phenomenological description of these deviations identifies them as sub-Arrhenius and super-Arrhenius regimes based on the concave or convex nature of $log\left(D\right)\propto 1∕T$ curve and the activation energy becomes temperature dependent. In general, super-Arrhenius behavior is observed in classical systems such as supercooled liquids where correlated motions play an important role in the dynamical behavior of the system, whereas sub-Arrhenius behavior is proposed to be intimately related to quantum tunneling effect of penetration of an energy barrier along the reaction path as in the case of chemical reactions. In this article, we show that a purely classical system, such as binary colloidal mixture under an external repulsive potential, can undergo sub-Arrhenius diffusion. The depletion interactions between the repulsive potential barrier and larger particles in the presence of the smaller particles contribute to the temperature dependence of activation energy which in turn lead to the sub-Arrhenius diffusion of larger particles in the mixture.

在许多物理系统的传输过程中，扩散率的温度依赖性被假定为表现出阿伦尼乌斯行为，即线性关系 $升ØG（d）\propto \mathrm{1个}∕Ť$。当扩展到较低的温度时，在许多物理系统中都会观察到偏差。这些偏差的现象学描述基于它们的凹性或凸性将它们识别为亚阿雷尼乌斯和超阿雷尼乌斯状态$升ØG（d）\propto \mathrm{1个}∕Ť$曲线，激活能量随温度而变。通常，在经典系统（例如过冷液体）中会观察到超阿伦尼乌斯行为，其中相关运动在系统的动力学行为中起着重要作用，而亚阿伦尼乌斯行为则被认为与渗透的量子隧穿效应密切相关。在化学反应中，沿着反应路径的能量屏障。在本文中，我们证明了纯经典的系统，例如在外部排斥势下的二元胶体混合物，可能会经历亚阿雷尼乌斯扩散。